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Finding the Third Proportional to 120,699 and 265,495.50

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Solution

The third proportional to 120,699 and 265,495.50 is: 583,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,699 : 265,495.50 = 265,495.50 : x
  2. Step 2: Convert to fraction form
    120,699/265,495.50 = 265,495.50/x
  3. Step 3: Cross multiply
    120,699x = 265,495.50 × 265,495.50
  4. Step 4: Simplify right side
    120,699x = 70,487,860,520.25
  5. Step 5: Solve for x
    x = 70,487,860,520.25/120,699
  6. Step 6: Final answer
    x = 583,997.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.